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Simplifying 3y + 1 + -1(5y + -4) = y + -1 Reorder the terms: 3y + 1 + -1(-4 + 5y) = y + -1 3y + 1 + (-4 * -1 + 5y * -1) = y + -1 3y + 1 + (4 + -5y) = y + -1 Reorder the terms: 1 + 4 + 3y + -5y = y + -1 Combine like terms: 1 + 4 = 5 5 + 3y + -5y = y + -1 Combine like terms: 3y + -5y = -2y 5 + -2y = y + -1 Reorder the terms: 5 + -2y = -1 + y Solving 5 + -2y = -1 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 5 + -2y + -1y = -1 + y + -1y Combine like terms: -2y + -1y = -3y 5 + -3y = -1 + y + -1y Combine like terms: y + -1y = 0 5 + -3y = -1 + 0 5 + -3y = -1 Add '-5' to each side of the equation. 5 + -5 + -3y = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -1 + -5 -3y = -1 + -5 Combine like terms: -1 + -5 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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